TY - JOUR T1 - A Note on Embedding the 4-arcs of Fano Plane with Quadric and Cubic Veroneseans to Projective Spaces AU - Akça, Ziya AU - Altıntaş, Abdilkadir PY - 2020 DA - October Y2 - 2020 DO - 10.36753/mathenot.640523 JF - Mathematical Sciences and Applications E-Notes JO - Math. Sci. Appl. E-Notes PB - Murat TOSUN WT - DergiPark SN - 2147-6268 SP - 60 EP - 64 VL - 8 IS - 2 LA - en AB - The 3-spaces generate intersect pairwise in at least a line (each pair of 4-sets share two points). But since the union of two such 4-sets is a 6-set, this union generates the whole space, so they pairwise intersect in a line. Dually, the lines that we consider have empty intersection. Other examples of such sets are spreads of lines, or spreads of any kind. In this work, we present SCID properties spaces generated by 4-arcs of Fano plane............................................................................ KW - Projective spaces KW - Fano plane KW - Arcs CR - [1] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Thas, J. A., Van Maldeghem, H.: Generalized Veronesean embeddings of projective spaces, Part II. The lax case, Ars Combinatoria, Volume CIII, January, 2012, 65-80. CR - [2] Akça, Z., Bayar, A., Ekmekçi, S., Kaya, R., Van Maldeghem, H.: Bazı Geometrilerin Sonlu Projektif Uzaylara Gömülmeleri Üzerine, Tübitak Proje No: 108T340, 2010. CR - [3] Bayar, A., Akça, Z., Ekmekçi, S.: 4.Mertebeden Projektif Düzlemin 4-boyutlu Projektif Uzaya Gömülmesi Üzerine, Ogü Bap Proje No: 201619D38, 2017. CR - [4] Ekmekçi, S., Bayar, A., Akça, Z.: P G(4, 4) Projektif Uzayındaki Projektif Düzlemler Üzerine, Ogü Bap Proje No: 201619D37, 2017. CR - [5] Hirschfeld, H., Thas.,J. A.: 2016, General Galois Geometries, Springer Monongraphs in Mathematics. CR - [6] Thas, J.A., Van Maldeghem, H.: Characterizations of quadric and Hermitian Veroneseans over finite fields, J. of Geometry, 76, 282-293 (2003). CR - [7] Thas, J. A., Van Maldeghem, H.: Classification of finite Veronesean caps, European J. of Combin. 25, 275-285 (2004). CR - [8] Thas, J. A., Van Maldeghem, H.: Characterizations of the finite quadric Veroneseans , Quart. J. Math, 55, 99-113 (2004). UR - https://doi.org/10.36753/mathenot.640523 L1 - https://dergipark.org.tr/en/download/article-file/1341431 ER -